Journals / Turkish Journal of Mathematics / 2010 / Cilt: 34 - Sayı: 4

On weakly M-supplemented primary subgroups of finite groups

Pages
489–500
DOI
—

Abstract

A subgroup H of a group G is said to be weakly M-supplemented in G if there exists a subgroup B of G provided that (1) G=HB, and (2) if H1/HG is a maximal subgroup of H/HG, then H1B=BH1

Özet

A subgroup H of a group G is said to be weakly M-supplemented in G if there exists a subgroup B of G provided that (1) G=HB, and (2) if H1/HG is a maximal subgroup of H/HG, then H1B=BH1

Keywords: Primary subgroups, weakly M-supplemented subgroups, supersolvable groups, formation